The hyperplanes of the U_4(3) near hexagon

B De Bruyn; Sergey Shpectorov

doi:10.1007/s00373-010-0926-9

The hyperplanes of the U_4(3) near hexagon

B De Bruyn, Sergey Shpectorov

Mathematics

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1 Citation (Scopus)

Abstract

Combining theoretical arguments with calculations in the computer algebra package GAP, we are able to show that there are 27 isomorphism classes of hyperplanes in the near hexagon for the group U (4)(3). We give an explicit construction of a representative of each class and we list several combinatorial properties of such a representative.

Original language	English
Journal	Graphs and Combinatorics
DOIs	https://doi.org/10.1007/s00373-010-0926-9
Publication status	Published - 1 Jan 2010

Keywords

Dual polar space
Near hexagon
Hyperplane
Minimal full polarized embedding
Universal embedding

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10.1007/s00373-010-0926-9

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title = "The hyperplanes of the U_4(3) near hexagon",

abstract = "Combining theoretical arguments with calculations in the computer algebra package GAP, we are able to show that there are 27 isomorphism classes of hyperplanes in the near hexagon for the group U (4)(3). We give an explicit construction of a representative of each class and we list several combinatorial properties of such a representative.",

keywords = "Dual polar space, Near hexagon, Hyperplane, Minimal full polarized embedding, Universal embedding",

author = "{De Bruyn}, B and Sergey Shpectorov",

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doi = "10.1007/s00373-010-0926-9",

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AU - Shpectorov, Sergey

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N2 - Combining theoretical arguments with calculations in the computer algebra package GAP, we are able to show that there are 27 isomorphism classes of hyperplanes in the near hexagon for the group U (4)(3). We give an explicit construction of a representative of each class and we list several combinatorial properties of such a representative.

AB - Combining theoretical arguments with calculations in the computer algebra package GAP, we are able to show that there are 27 isomorphism classes of hyperplanes in the near hexagon for the group U (4)(3). We give an explicit construction of a representative of each class and we list several combinatorial properties of such a representative.

KW - Dual polar space

KW - Near hexagon

KW - Hyperplane

KW - Minimal full polarized embedding

KW - Universal embedding

U2 - 10.1007/s00373-010-0926-9

DO - 10.1007/s00373-010-0926-9

M3 - Article

SN - 1435-5914

JO - Graphs and Combinatorics

JF - Graphs and Combinatorics

ER -

The hyperplanes of the U_4(3) near hexagon

Abstract

Keywords

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